312002123200101 has 12 divisors (see below), whose sum is σ = 455733438383340. Its totient is φ = 205664320910400.

The previous prime is 312002123200093. The next prime is 312002123200111. The reversal of 312002123200101 is 101002321200213.

312002123200101 is a `hidden beast` number, since 3 + 120 + 0 + 212 + 320 + 0 + 10 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43194785531076 + 268807337669025 = 6572274^2 + 16395345^2 .

It is not a de Polignac number, because 312002123200101 - 2³ = 312002123200093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312002123200111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194757878850 + ... + 194757880451.

It is an arithmetic number, because the mean of its divisors is an integer number (37977786531945).

Almost surely, 2^{312002123200101} is an apocalyptic number.

It is an amenable number.

312002123200101 is a deficient number, since it is larger than the sum of its proper divisors (143731315183239).

312002123200101 is a wasteful number, since it uses less digits than its factorization.

312002123200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389515759396 (or 389515759393 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312002123200101 its reverse (101002321200213), we get a palindrome (413004444400314).

The spelling of 312002123200101 in words is "three hundred twelve trillion, two billion, one hundred twenty-three million, two hundred thousand, one hundred one".